College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.4 - Page 268: 29

Answer

a. $141.6$ b. Overestimates the average yearly increase by $5.1$

Work Step by Step

a) Using the formula $$f(x)=1.1x^3-35x^2+264x+557$$ we can determine the values $f(4)=1120.4$ and $f(0)=557$. Therefore, by inserting it into the slope formula $$m=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}=\frac{1120.4-557}{4-0}=141.6$$ b) Because the average yearly increase determined in Exercise $27$ was $136.5$ and the result obtained using the slope was $141.6$, it follows that the slope from part $(a)$ overestimates the average yearly increase determined in exercise 27 by $141.6-136.5=5.1$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.